kurtosis

Kurtosis

Kurtosis is a measure of the “peakedness”/“tailedness” of a distribution. It is calculated as the average of the standardized deviations from the mean raised to the fourth power:

$$\mathrm{Kurt}[X]=\frac{1}{N}\sum _{i=1}^N{\left(\frac{x_i-\bar{x}}{\sigma }\right)}^4$$